Answer:z = -3General Formulas and Concepts:Pre-AlgebraOrder of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra IEquality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Distributive PropertyTerms/CoefficientsStep-by-step explanation:Step 1: DefineIdentify.42 = -7(z - 3)Step 2: Solve for z[Distributive Property] Distribute -7: 42 = -7z + 21[Subtraction Property of Equality] Subtract 21 on both sides: 21 = -7z[Division Property of Equality] Divide -7 on both sides: -3 = zRewrite: z = -3